Convolutive or semi-integral analysis

Another type of data handling has been proposed simultaneously by Saveant and co-workers [79] and Oldham et al. [80]. It is based on the 

Methods to compute jF (t) values reliably have been discussed extensively by the above-mentioned authors, especially by Oldham who stated that eqn. (99) can be considered as the semi-integral of jF t), generated by the operator d-1/2/df-1/2. Consequently, various rules derived for semiintegration and semi-differentiation can be applied, placing the principle in a more general context [80]. 

application of the principle to the simple potential-step method appears trivial or superfluous. However, it is of quite great important for other types of potential control, namely double potential step, cyclic potential step [73], and especially the linear potential sweep method [21, 22, 73]. In all these techniques, sets of data Jf ( ) /f (f) E can be obtained, thus enabling kt(E) to be determined from eqn. (100). For more details, the reader is referred to the quoted textbooks. 

Although being of great fundamental importance, it should not be ignored that practical application of the semi-integral analysis requires separation of the faradaic current density jF, i.e. subtraction of the charging current density jc, from the overall current density, j, as well as perfect instrumental compensation or numerical subtraction of the ohmic potential drop jARn in order to obtain the interfacial potential E. 

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